Darboux Transformation And Exact Solutions Of The Discrete Chen-Lee-Liu Equation

This thesis mainly studies the Darboux transformation and exact solutions of the Chen-Lee-Liu equation. Based on the given Lax pairs of the equation, the canonical transformation between Lax pairs is introduced then the Darboux transformation of discrete Chen-Lee-Liu equation is derived. Finally, the application of Darboux transform is discussed. Explicit solutions of the discrete Chen-Lee-Liu equation is constructed in detail by using the Darboux transform. By using Mathematica software, through the appropriate selection of parameters, some explicit solutions of the equation is given.